Abstract
In this paper, we prove strong convergence of a Halpern’s iteration generated by a sequence of quasinonexpansive type mappings in a Hilbert space. Then using the result, we establish convergence theorems for a λ-hybrid mapping and a maximal monotone operator.
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Aoyama, K. (2011). Halpern’s Iteration for a Sequence of Quasinonexpansive Type Mappings. In: Li, S., Wang, X., Okazaki, Y., Kawabe, J., Murofushi, T., Guan, L. (eds) Nonlinear Mathematics for Uncertainty and its Applications. Advances in Intelligent and Soft Computing, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22833-9_47
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DOI: https://doi.org/10.1007/978-3-642-22833-9_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22832-2
Online ISBN: 978-3-642-22833-9
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